Math and Costumes

1
Math and Costumes

• Jessica Kammerud
• Julie Osborne
• Deanna Shamel

2
Overview

• Mathematics and Costuming
• Tiling
• Fractals
• Roger Penrose
• Conclusion

3
Mathematics and Costuming

• Design and Construction Process
• Choosing Fabric and Patterns
• Pattern sizes through time
• The Perfect Fit/ The Sloper

4
Costuming continued . . .

• Position the Pattern and the Fabric
• Seams, Buttons, Decorative Stitching
• Tiling and Fractals

5
Tiling

• Periodic Tiling
• Aperiodic Tiling
• Penrose tiling is a style of tiling the can cover
  an infinite plane without the pattern ever
  repeating

6
Fractals

• Three common techniques for generating fractals
• Fractals can also be classified according to
  their self-similarity.

7
Roger Penrose

• Discovered Penrose Tiling in 1974
• Kites
• Darts
• Fascinating fact about Penrose Tiling

8
Roger Penrose Continued
9
Roger Penrose Continued
10
Penrose Tiling and Math

• Ratio
• Five-fold symmetry
• 360/572 degrees

11
Penrose Generator
12
Conclusion

• Tiling and Fractals both play a major part when
  it comes to designing patterns for costumes.
• Roger Penrose is known for developing the style
  of patterns using math
• Mathematics is used in almost everything-you must
  understand it to use it

13
Works Cited

• Aperiodic Tiling. Retrieved November 15, 2006,
  from http//spsu.edu/math/tile/aperiodic/robinson/
  robinson.htm
• Fractals. Retrieved November 29, 2006, from
  http//en.wikipedia.org/wiki/FractalsExamples
• The Geometry Junkyard. Retrieved November 14,
  2006, from http//www.ics.uci.edu/eppstein/junkya
  rd/tiling.html
• Grosenick, Lauraline. The Sloper Lady. Retrieved
  November 17, 2006, from http//www.fabrics.net/slo
  pers/Sloper2.asp
• Penrose Tiling. Retrieved November 15, 2006, from
  http//en.wikipedia.org/wiki/Penrose_tiling
• Penrose Tiling. Retrieved November 29, 2006, from
  http//en.wikipedia.org/wiki/Penrose_tiling
• Roger Penrose. Retrieved November 29, 2006, from
  http//en.wikipedia.org/wiki/Roger_Penrose
• Tessellation. Retrieved November 29, 2006, from
  http//en.wikipedia.org/wiki/Tessellation

14
Image Credits

• A Brief History of the mathematics Learning
  Centre/Service. Retrieved November 29, 2006, from
  http//www.adelaide.edu.au/clpd/maths/anniversary.
  html
• Connections in Space. Retrieved November 29,
  2006, from http//www.btinternet.com/connectionsi
  nspace/Patterns_and_Space_Filling/Penrose_Tiles/bo
  dy_penrose_tiles.html
• Decagons. Retrieved November 29, 2006, from
  http//www.miracerros.com/artwork/g_decagons_aperi
  odic_large.gif
• Lifesmith Classic Fractals. Retrieved November
  29, 2006, from http//www.lifesmith.com/T-shirts.h
  tml
• The Merits of a Basic Fitting Pattern. Retrieved
  November 29, 2006, from http//www.taunton.com/thr
  eads/pages/t00036.asp
• A Periodic Tiling. Retrieved November 29, 2006,
  from www.spsu.edu/math/tile/defs/periodic.htm
• Postscript Penrose Tiling Generator. Retrieved
  November 29, 2006, from http//www.math.ubc.ca/ca
  ss/courses/m308-02b/projects/schweber/penrose.html